Gauge boson exchange in AdSd+1 |
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Institution: | 1. Faculty of Environment and Life, Beijing University of Technology, Beijing 100124, China;2. Beijing University of Chinese Medicine, Beijing 100029, China;3. Peking University First Hospital, Medical Equipment Dept, Beijing 100034, China;4. People''s Hospital, Peking University, Beijing 100080, China |
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Abstract: | We study the amplitude for exchange of massless gauge bosons between pairs of massive scalar fields in anti-de Sitter space. In the AdS/CFT correspondence this amplitude describes the contribution of conserved flavor symmetry currents to 4-point functions of scalar operators in the boundary conformal theory. A concise, covariant, Y2K compatible derivation of the gauge boson propagator in AdSd + 1 is given. Techniques are developed to calculate the two bulk integrals over AdS space leading to explicit expressions or convenient, simple integral representations for the amplitude. The amplitude contains leading power and sub-leading logarithmic singularities in the gauge boson channel and leading logarithms in the crossed channel. The new methods of this paper are expected to have other applications in the study of the Maldacena conjecture. |
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